Finding the Third Proportional to 31,638 and 49,371

Step by Step Solution

1. Step 1: Write the proportion equation
   31,638 : 49,371 = 49,371 : x
2. Step 2: Convert to fraction form
   31,638/49,371 = 49,371/x
3. Step 3: Cross multiply
   31,638x = 49,371 × 49,371
4. Step 4: Simplify right side
   31,638x = 2,437,495,641
5. Step 5: Solve for x
   x = 2,437,495,641/31,638
6. Step 6: Final answer
   x = 77,043.29